About: Supersymmetric theory of stochastic dynamics

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Supersymmetric theory of stochastic dynamics or stochastics (STS) is an exact theory of stochastic (partial) differential equations (SDEs), the class of mathematical models with the widest applicability covering, in particular, all continuous time dynamical systems, with and without noise. The main utility of the theory from the physical point of view is a rigorous theoretical explanation of the ubiquitous spontaneous long-range dynamical behavior that manifests itself across disciplines via such phenomena as 1/f, flicker, and crackling noises and the power-law statistics, or Zipf's law, of instantonic processes like earthquakes and neuroavalanches. From the mathematical point of view, STS is interesting because it bridges the two major parts of mathematical physics – the dynamical systems

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rdfs:label	Théorie supersymétrique de la dynamique stochastique (fr) Supersymmetric theory of stochastic dynamics (en)
rdfs:comment	La théorie supersymétrique de la dynamique stochastique (TSDS) est une théorie exacte des équations différentielles (partielles) stochastiques (EDS). Elle représente une classe de modèles mathématiques très large qui décrit, en particulier, tous les systèmes dynamiques à temps continu, avec et sans bruit. Du point de vue physique, son utilité tient en une explication théorique rigoureuse du comportement omniprésent d'une dynamique spontanée à longue portée qui se manifeste dans de très nombreuses disciplines via des phénomènes tels que la loi en 1/f, le scintillement, les bruits de crépitement et les statistiques de loi de puissance, ou loi de Zipf, ainsi que des processus instantanés comme les tremblements de terre et les avalanches neurales. D'un point de vue mathématique, TSDS relie deu (fr) Supersymmetric theory of stochastic dynamics or stochastics (STS) is an exact theory of stochastic (partial) differential equations (SDEs), the class of mathematical models with the widest applicability covering, in particular, all continuous time dynamical systems, with and without noise. The main utility of the theory from the physical point of view is a rigorous theoretical explanation of the ubiquitous spontaneous long-range dynamical behavior that manifests itself across disciplines via such phenomena as 1/f, flicker, and crackling noises and the power-law statistics, or Zipf's law, of instantonic processes like earthquakes and neuroavalanches. From the mathematical point of view, STS is interesting because it bridges the two major parts of mathematical physics – the dynamical systems (en)
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dcterms:subject	Theoretical physics Chaos theory Supersymmetry Applied and interdisciplinary physics Complex systems theory Self-organization Stochastic processes Mathematical physics
Wikipage page ID	53961341 (xsd:integer)
Wikipage revision ID	1123537082 (xsd:integer)
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